If your machine supports KVM you shouldn't get to big of a impact on resources. My server does and the render time for TG is basically the same as rendering in Linux itself with the Linux Node. Linux Node is a little faster, but it's negligible, especially with the render I do give it, which are ones I can't do at home and take ages (days).
You mention it crashes less than a minute after launching in WINE. Our of curiosity, could you try closing the 3D preview as soon as it starts and see if it continues to crash? If it's stable without the 3D preview, maybe that narrows down just one area that needs some attention to be compatible in WINE.